Feedback-controlled transport in an interacting colloidal system

Abstract

Based on dynamical density functional theory (DDFT) we consider a non-equilibrium system of interacting colloidal particles driven by a constant tilting force through a periodic, symmetric "washboard" potential. We demonstrate that, despite of pronounced spatio-temporal correlations, the particle current can be reversed by adding suitable feedback control terms to the DDFT equation of motion. We explore two distinct control protocols with time delay, focussing on either the particle positions or the density profile. Our study shows that the DDFT is an appropriate framework to implement time-delayed feedback control strategies widely used in other fields of nonlinear physics

6 pages, 5 figures

References in corpus (10)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Non-equilibrium sedimentation of colloids on the particle scale
• Feedback control in a collective flashing ratchet
• Giant Colloidal Diffusivity on Corrugated Optical Vortices
• Realization of a feedback controlled flashing ratchet
• Dynamical density functional theory with hydrodynamic interactions and colloids in unstable traps
• Recycled Noise Rectification: A Dumb Maxwell's Daemon
• Effect of time delay on feedback control of a flashing ratchet
• Characterizing Potentials by a Generalized Boltzmann Factor
• Collective shuttling of attracting particles in asymmetric narrow channels

Cited by in corpus (10)

• Classical dynamical density functional theory: from fundamentals to applications
• Delay-induced transport in a rocking ratchet under feedback control
• Traveling band formation in feedback-driven colloids
• Force-linearization closure for non-Markovian Langevin systems with time delay
• Enhancement of mobility in an interacting colloidal system under feedback control
• Feedback-induced oscillations in one-dimensional colloidal transport
• A minimal model for short-time diffusion in periodic potentials
• Persistent motion of a Brownian particle subject to repulsive feedback with time delay
• Novel structure formation of a phase separating colloidal fluid in a ratchet potential
• Dynamical density functional theory for the diffusion of injected Brownian particles